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1349609058 = 2327212372
BaseRepresentation
bin101000001110001…
…0110011001100010
310111001112020120200
41100130112121202
510230444442213
6341530450030
745305326200
oct12034263142
93431466520
101349609058
11632901296
12317b93916
131867b7455
14cb356070
157d73e273
hex50716662

1349609058 has 54 divisors (see below), whose sum is σ = 3404317761. Its totient is φ = 385290864.

The previous prime is 1349609033. The next prime is 1349609081. The reversal of 1349609058 is 8509069431.

It is a happy number.

1349609058 is a `hidden beast` number, since 1 + 34 + 9 + 609 + 0 + 5 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1255072329 + 94536729 = 35427^2 + 9723^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25977.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1090416 + ... + 1091652.

Almost surely, 21349609058 is an apocalyptic number.

1349609058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349609058

1349609058 is an abundant number, since it is smaller than the sum of its proper divisors (2054708703).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1349609058 is an equidigital number, since it uses as much as digits as its factorization.

1349609058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1349609058 is about 36737.0257097659. The cubic root of 1349609058 is about 1105.1027546522.

The spelling of 1349609058 in words is "one billion, three hundred forty-nine million, six hundred nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1237 2474 3711 7422 8659 11133 17318 22266 25977 51954 60613 77931 121226 155862 181839 363678 545517 1091034 1530169 3060338 4590507 9181014 10711183 13771521 21422366 27543042 32133549 64267098 74978281 96400647 149956562 192801294 224934843 449869686 674804529 1349609058